paper

A non-variational approach to the existence of nonzero positive solutions for elliptic systems

arXiv:1607.03020 · doi:10.1007/s11784-017-0476-3

Abstract

We provide new results on the existence of nonzero positive weak solutions for a class of second order elliptic systems. Our approach relies on a combined use of iterative techniques and classical fixed point index. Some examples are presented to illustrate the theoretical results.

13 pages